Estimation in an implicit multivariate measurement error
Teoriâ slučajnyh processov, Tome 14 (2008) no. 1, pp. 117-125.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{THSP_2008_14_1_a12,
     author = {Maria Polekha},
     title = {Estimation in an implicit multivariate measurement error},
     journal = {Teori\^a slu\v{c}ajnyh processov},
     pages = {117--125},
     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/THSP_2008_14_1_a12/}
}
TY  - JOUR
AU  - Maria Polekha
TI  - Estimation in an implicit multivariate measurement error
JO  - Teoriâ slučajnyh processov
PY  - 2008
SP  - 117
EP  - 125
VL  - 14
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/THSP_2008_14_1_a12/
LA  - en
ID  - THSP_2008_14_1_a12
ER  - 
%0 Journal Article
%A Maria Polekha
%T Estimation in an implicit multivariate measurement error
%J Teoriâ slučajnyh processov
%D 2008
%P 117-125
%V 14
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/THSP_2008_14_1_a12/
%G en
%F THSP_2008_14_1_a12
Maria Polekha. Estimation in an implicit multivariate measurement error. Teoriâ slučajnyh processov, Tome 14 (2008) no. 1, pp. 117-125. http://geodesic.mathdoc.fr/item/THSP_2008_14_1_a12/

[1] A. Kukush, I. Markovsky, S. Van Huffel, “Consistency of the structured total least squares estimator in a multivariate errors-in-variables model”, Journal of Statistical Planning and Inference, 133:2 (2005), 315–358 | DOI | MR | Zbl

[2] A. Kukush, S. Van Huffel, “Consistency of element-wise weighted total least squares estimator in multivariate errors-in-variables model $AX = B$”, Metrika, 59:1 (2004), 75–97 | DOI | MR | Zbl

[3] A. Kukush, I. Markovsky, S. Van Huffel, Estimation in a linear multivariate measurement error model with clustering in the regressor, Internal Report 05-170. ESAT-SISTA. K.U.Leuven (Leuven, Belgium), 2005

[4] A. Kukush, M. Polekha, “Consistent estimator in multivariate errors-in-variables model under unknown error covariance structure”, Ukrainian Mathematical Journal, 59:8 (2007), 1026–1033 | DOI | MR | Zbl

[5] A. Kukush, S. Zwanzing, “About the adaptive minimum contrast estimator in a model with nonlinear functional relations”, Ukrainian Mathematical Journal, 53 (2001), 1145–1452 | DOI

[6] A. Wald, “The fitting of straight lines if both variables are subject to error”, Ann. Math. Stat., 11 (1940), 284–300 | DOI | MR

[7] G. Stewart, J. Sun, Matrix Perturbation Theory, Academic Press, Boston, 1990 | MR | Zbl

[8] I. Markovsy, A. Kukush, S. Van Huffel, “On errors-in-variables estimation with unknown noise variance ratio”, 14th IFAC Symposium on System Identification (Newcastle. Australia (2006))

[9] I. Markovsy, A. Kukush, S. Van Huffel, “Estimation in a linear multivariate measurement error model with a change point in data”, Computational Statistics and Data Analysis, 52:2 (2007), 1167–1182 | DOI | MR